A circle has a center that falls on the line #y = 3/7x +1 # and passes through # ( 2 ,8 )# and #(3 ,5 )#. What is the equation of the circle?
1 Answer
The equation is:
Explanation:
The equation of a circle is:
where r is the radius and (h, k) is the center point.
Using the two given points, we write two equations:
Because
Using the pattern,
Substitute the point (h, k) into the given equation:
Because k = k, we can set the right sides equal:
Substitute the center into the first equation and solve for r²:
The equation is: